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2 years ago

The constant of proportionality is always the point ____________, where kis the constant of proportionality.

Mathematics

1 answer:

spayn [35]2 years ago

8 0

Answer:

The constant of proportionality is always the point (x, k * f (x), where k is the constant of proportionality.

Step-by-step explanation:

Let's take as example a linear function of the form: y = kx.

Where, k is the constant of proportionality.

Therefore, the proportionality constant is the point: (x, kx)

Generically it is always the point: (x, k * f (x)

Where, f (x) is a function proportional to x. The constant of proportionality is always the point (x, k * f (x)), where k is the constant of proportionality.

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Which function is the inverse of ? f(x)=50,000(0.8)^x

IrinaK [193]

Answer:

y=log(x)−log(50000)log(0.8)

Explanation:

write as : y=50000(0.8)x

Taking logs:

log(y)=log(50000)+log(.(0.8)x.)

But log(.(0.8)x.) is the same as xlog(0.8)

Thus
x=log(y)−log(50000)log(0.8)

Now swap the x'x and the y's giving:

y=log(x)−log(50000)log(0.8)

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3 years ago

Write the following in decimal format: 364 1000

levacccp [35]

Answer: 3.64, 10.00

Step by step:

4 0

2 years ago

If x is the first of two consecutive integers, express the sum of the two integers in terms of x

makkiz [27]

Answer:

2x+1

Step-by-step explanation:

x = 1st integer

x+1 = next consecutive integer

The sum is

x+ (x+1)

Combine like terms

2x+1

7 0

3 years ago

Read 2 more answers

Which expression is equivalent to (x^-6/x^2)^3 1/x 1/x^5 1/x^9 1/x^24

iVinArrow [24]

Step-by-step explanation:

1/x^24 is the correct expression

4 0

3 years ago

Can you please help me

ioda

Answer: 1/6

Step-by-step explanation:

Given:

4/9 and 11/18

Solve:

STEP ONE: Make the denominators equal by determining the LCM

LCM = Least Common Multiple

First Five multiples of 9 = 9, 18, 27, 36, 45

First FIve multiples of 18 = 18, 36, 54, 72, 90

As we can see from the list above, both 18 and 36 overlap, however, 18 is less than 36. Therefore, 18 is the LCM.

STEP TWO: Compare the size and determine the greater one.

4/9 = (4 × 2) / (9 × 2) = 8/18

11/18 = 11/18

Since 11 > 8, therefore, 11/18 is greater than 8/18

STEP THREE: Find the difference between the two fractions.

11/18 - 4/9

=11/18 - 8/18

=(11 - 8) / 18

= 3 / 18

= 1/6

Hope this helps!! :)

Please let me know if you have any questions

6 0

3 years ago